Results of a low-energy ipn scattering study of the H-induced 1 x 2 reconstruction of the Cu(110) surface are presented. The surface was bombarded with 6-keV Ar+ ions under a grazing angle of 5 degrees, 6 degrees, or 8 degrees; azimuthal scans of the yields of the scattered Ar and recoiled Cu and H atoms emitted at a scattering angle of 45 degrees were measured. The scans were compared with the results of computer simulations. We confirm that the surface is of the 1x2 "missing-row" type. Nine possible positions of H atoms at the Cu(110)-(1x2) surface for different coverages were analyzed. The H atoms were found to be situated in one of the two possible trigonal hollow sites on the missing-row reconstructed surface. To obtain good fits to the experimental data, large thermal vibration amplitudes of the H atoms had to be assumed. These large amplitudes can be due to a nonharmonic potential. [S0163-1829(98)05315-6].